If A be taken as denoting one of the two constant characters, for instance the dominant, a, the recessive, and Aa the hybrid form in which both are conjoined, the expression
A + 2Aa + a
shows the terms in the series for the progeny of the hybrids of two differentiating characters.
The observation made by Gärtner, Kölreuter, and others, that hybrids are inclined to revert to the parental forms, is also confirmed by the experiments described. It is seen that the number of the hybrids which arise from one fertilisation, as compared with the number of forms which become constant, and their progeny from generation to generation, is continually diminishing, but that nevertheless they could not entirely disappear. If an average equality of fertility in all plants in all generations be assumed, and if, furthermore, each hybrid forms seed of which one-half yields hybrids again, while the other half is constant to both characters in equal proportions, the ratio of numbers for the offspring in each generation is seen by the following summary, in which A and a denote again the two parental characters, and Aa the hybrid forms. For brevity's sake it may be assumed that each plant in each generation furnishes only 4 seeds.
| Ratios. | |||||||||
| Generation | A | Aa | a | A | ∶ | Aa | ∶ | a | |
| 1 | 1 | 2 | 1 | 1 | ∶ | 2 | ∶ | 1 | |
| 2 | 6 | 4 | 6 | 3 | ∶ | 2 | ∶ | 3 | |
| 3 | 28 | 8 | 28 | 7 | ∶ | 2 | ∶ | 7 | |
| 4 | 120 | 16 | 120 | 15 | ∶ | 2 | ∶ | 15 | |
| 5 | 496 | 32 | 496 | 31 | ∶ | 2 | ∶ | 31 | |
| n | 2ⁿ - 1 | ∶ | 2 | ∶ | 2ⁿ - 1 | ||||
